4345733160 has 256 divisors, whose sum is σ = 15237849600. Its totient is φ = 1099524096.

The previous prime is 4345733141. The next prime is 4345733167. The reversal of 4345733160 is 613375434.

4345733160 is a `hidden beast` number, since 43 + 457 + 3 + 3 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4345733167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3402442 + ... + 3403718.

It is an arithmetic number, because the mean of its divisors is an integer number (59522850).

Almost surely, 2^4345733160 is an apocalyptic number.

4345733160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345733160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618924800).

4345733160 is an abundant number, since it is smaller than the sum of its proper divisors (10892116440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4345733160 is a wasteful number, since it uses less digits than its factorization.

4345733160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4345733160 is about 65922.1750247972. The cubic root of 4345733160 is about 1631.8779915277.

It can be divided in two parts, 4345 and 733160, that added together give a triangular number (737505 = T₁₂₁₄).

The spelling of 4345733160 in words is "four billion, three hundred forty-five million, seven hundred thirty-three thousand, one hundred sixty".